Finding the Third Proportional to 80,380 and 174,598

Step by Step Solution

1. Step 1: Write the proportion equation
   80,380 : 174,598 = 174,598 : x
2. Step 2: Convert to fraction form
   80,380/174,598 = 174,598/x
3. Step 3: Cross multiply
   80,380x = 174,598 × 174,598
4. Step 4: Simplify right side
   80,380x = 30,484,461,604
5. Step 5: Solve for x
   x = 30,484,461,604/80,380
6. Step 6: Final answer
   x = 379,254.31